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4829393840 = 245733972083
BaseRepresentation
bin1000111111101101…
…01011001110110000
3110110120100121220112
410133312223032300
534342311100330
62115114400452
7230451112265
oct43766531660
913416317815
104829393840
112059081087
12b29430128
135bc6c66bb
1433b57126c
151d3ea6795
hex11fdab3b0

4829393840 has 80 divisors (see below), whose sum is σ = 11416302048. Its totient is φ = 1899583488.

The previous prime is 4829393791. The next prime is 4829393843. The reversal of 4829393840 is 483939284.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4829393843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2317439 + ... + 2319521.

Almost surely, 24829393840 is an apocalyptic number.

4829393840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4829393840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708151024).

4829393840 is an abundant number, since it is smaller than the sum of its proper divisors (6586908208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4829393840 is a wasteful number, since it uses less digits than its factorization.

4829393840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The square root of 4829393840 is about 69493.8403025765. The cubic root of 4829393840 is about 1690.3016209433.

The spelling of 4829393840 in words is "four billion, eight hundred twenty-nine million, three hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 397 584 730 794 1168 1460 1588 1985 2083 2920 3176 3970 4166 5840 6352 7940 8332 10415 15880 16664 20830 28981 31760 33328 41660 57962 83320 115924 144905 152059 166640 231848 289810 304118 463696 579620 608236 760295 826951 1159240 1216472 1520590 1653902 2318480 2432944 3041180 3307804 4134755 6082360 6615608 8269510 12164720 13231216 16539020 33078040 60367423 66156080 120734846 241469692 301837115 482939384 603674230 965878768 1207348460 2414696920 4829393840